To fill in the blanks correctly based on the provided solution and the values in the table, here's how you should complete the sentences:

1. The closer $Q$ is to $P$, the closer $x$ is to 1 and, it appears from the tables, the closer $m_{PQ}$ is to $16$.
2. This suggests that the slope of the tangent line $\ell$ should be $m = 16$.

Would you like any additional details or have any questions?

Suggested Questions:

1. How do you derive the equation of a tangent line using limits?
2. Can you explain the concept of a secant line?
3. How do you use the point-slope form to write the equation of a line?
4. What does it mean for a function to have a derivative at a point?
5. How does the limit process help in finding the slope of the tangent line?

Tip:

When finding the equation of a tangent line, remember that the slope of the tangent line at a point is the derivative of the function evaluated at that point.